Question

Shoe Sizes: 10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9,...

Shoe Sizes:

10, 10.5, 11, 11, 7.5, 6.5, 8.5, 9, 10.5, 8, 8, 6, 7.5, 9, 6.5, 7, 6, 10.5, 7.5, 8, 9, 6.5, 8, 7, 12, 6.5, 9.5, 7, 8, 7

Height in inches:

61, 70, 69, 68, 72, 68, 63, 64, 65, 65, 67, 68, 62, 61, 62, 67, 63, 64, 68, 70, 62, 61, 64, 65, 66, 75, 64, 66,, 63, 66, 6

Based on our sample data, is there any linear correlation between our heights and shoe size of all students? Use p-value or critical value method to test the claim there is a linear correlation between heights and shoe size of all college students at a 5% level of significance.

1. Construct Scatterplot. Find the strength, trend, and direction.

2. Perform hypothesis testing to test the claim there is a linear correlation between heights and shoe size of all students at a 5% level of significance.

S1: Find linear coefficient r

S2: The original Claim

S3: Identify Ho and H1

S4: Compute test statistics

S5: Draw the distribution

S6: Find the p-value

S7: What is our statistical conclusion?

S8: State the final words in conclusion.

3. If it has a strong linear correlation, find the regression equation.

4. Estimate a person's shoe size whose height is 55 inches.

5. Predict Sultan Kosen's shoe size

Who is the tallest person in the world?

Sultan Kösen

Sultan Kösen (born 10 December 1982) is a Kurdish public figure, farmer, herder who holds the Guinness World Record for a tallest living male at 251 centimeters (8 ft 2.82 in).

Homework Answers

Answer #1

1. The scatterplot is:

There is a weak, negative and linear relationship between the variables.

2. r = -0.046

The hypothesis being tested is:

H0: = 0

Ha: 0

Claim: There is a linear correlation between heights and shoe size of all students

The test statistics is -0.245.

The p-value is 0.8083.

Since the p-value (0.8083) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a linear correlation between heights and shoe size of all students.

3. The equation is:

y = 9.7822 - 0.0226*x

4. y = 9.7822 - 0.0226*55 = 8.54

5. y = 9.7822 - 0.0226*98.82 = 7.55

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the classroom dataset. A researcher wants to be able to use shoe size to predict...
Use the classroom dataset. A researcher wants to be able to use shoe size to predict height. Shoe size= 6, 9, 7.5, 9.5, 8, 10.5, 8, 8, 7.5, 7.5, 9, 9, 8.5, 11.5, 8.5, 9, 7, 5, 8, 8, 8.5, 6.5, 6 Height(in)= 62, 67, 62, 69, 63, 67, 66, 63, 68, 64, 63, 66, 65, 72, 64, 65, 66, 61, 67, 64, 65, 60, 64 A) what variable is the response variable and which is the predictor variable? B)...
data on the heights of 37 randomly selected female engineering students at UH: 62 64 61...
data on the heights of 37 randomly selected female engineering students at UH: 62 64 61 67 65 68 61 65 60 65 64 63 59 68 64 66 68 69 65 67 62 66 68 67 66 65 69 65 69 65 67 67 65 63 64 67 65 We found that the sample mean and sample standard deviation for this sample data are 65.16 inches and 2.54 inches, respectively. Do you find sufficient evidence in the sample data...
6  Use 10 bins with the first centered on 61 in. and of width 1 in. Construct...
6  Use 10 bins with the first centered on 61 in. and of width 1 in. Construct a histogram for the female student height data in Exercise 6.2.8. The female students in an undergraduate engineering core course at ASU self-reported their heights to the nearest inch. The data follow. Construct a stem-and-leaf diagram for the height data and comment on any important features that you notice. Calculate the sample mean, the sample standard deviation, and the sample median of height. 62...
We found that the sample mean and sample standard deviation for this sample data are 65.16...
We found that the sample mean and sample standard deviation for this sample data are 65.16 inches and 2.54 inches, respectively. Do you find sufficient evidence in the sample data to support the claim that the mean height of female engineering students at UH is greater than 65 inches at α = 0.05? Answer this question using both fixed-? approach and P-value approach. (Hint: for P-value approach, you need to find P-value range using the t-table as demonstrated in the...
A randomly selected sample of college basketball players has the following heights in inches. 63, 62,...
A randomly selected sample of college basketball players has the following heights in inches. 63, 62, 71, 63, 63, 63, 69, 61, 68, 64, 62, 62, 65, 69, 69, 71, 66, 62, 63, 64, 66, 61, 63, 67, 65, 64, 63, 61, 68, 68, 67, 62 Compute a 95% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately. ______< μ <_____ (Keep 3 decimal places)
MALE :Student # Gender Height Shoe Age Hand 1 M 67 10 19 R 2 M...
MALE :Student # Gender Height Shoe Age Hand 1 M 67 10 19 R 2 M 74 12 17 R 3 M 72 11.5 19 R 4 M 69 10 35 R 5 M 66 9 18 R 6 M 71 10.5 17 R 7 M 72 10.5 17 R 8 M 66 10 20 R 9 M 67 10 18 R 10 M 71 10.5 24 R 11 M 66 10 21 R 12 M 71 10.5 18 R...
A randomly selected sample of college basketball players has the following heights in inches. 65, 62,...
A randomly selected sample of college basketball players has the following heights in inches. 65, 62, 64, 61, 68, 61, 63, 70, 66, 71, 65, 62, 61, 66, 69, 71, 69, 67, 65, 65, 65, 71, 67, 63, 71, 67, 68, 63, 66, 70, 69, 64 Compute a 99% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately. < μ < (Keep 3 decimal places)
A randomly selected sample of college basketball players has the following heights in inches. 65, 63,...
A randomly selected sample of college basketball players has the following heights in inches. 65, 63, 67, 67, 67, 70, 63, 65, 62, 66, 70, 62, 68, 67, 69, 67, 61, 68, 67, 67, 64, 69, 67, 62, 63, 65, 63, 65, 71, 62, 64, 61 Compute a 95% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately. ___ < μ < ___ (Keep 3 decimal places)
Student # Gender Height Shoe Age Hand 1 F 68 8.5 20 R 2 F 60...
Student # Gender Height Shoe Age Hand 1 F 68 8.5 20 R 2 F 60 5.5 27 R 3 F 64 7 31 R 4 F 67 7.5 19 R 5 F 65 8 20 R 6 F 66 9 29 R 7 F 62 9.5 30 L 8 F 63 8.5 18 R 9 F 60 5 19 L 10 F 63 7.5 42 R 11 F 61 7 20 R 12 F 64 7.5 17 R 13...
Using the class sample data, analyze the student heights by completing the following. Please note the...
Using the class sample data, analyze the student heights by completing the following. Please note the following directions. The data below was collected from a group of 45 female students last semester. You will use this data throughout the semester on your lab assignments. Student # Gender Height Shoe Age Hand 1 F 68 8.5 20 R 2 F 60 5.5 27 R 3 F 64 7 31 R 4 F 67 7.5 19 R 5 F 65 8 20...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT